Hidden attractors without equilibrium and adaptive reduced-order function projective synchronization from hyperchaotic Rikitake system

doi:10.1007/s12043-017-1363-6

CORC > 上海财经大学 > 上海财经大学

	Hidden attractors without equilibrium and adaptive reduced-order function projective synchronization from hyperchaotic Rikitake system
	Feng, Yu 1; Pan, Weiquan 2
刊名	PRAMANA-JOURNAL OF PHYSICS
	2017-04
卷号	88 期号:4
关键词	Hyperchaos hidden attractors reduced order projective synchronization Lyapunov stability theorem
ISSN号	0304-4289
DOI	10.1007/s12043-017-1363-6
英文摘要	By introducing an additional state feedback into classic Rikitake system, a new hyperchaotic system without equilibrium is derived. The proposed system is investigated through numerical simulations and analyses including time phase portraits, Lyapunov exponents, and Poincare maps. Based on adaptive control and Lyapunov stability theory, we design a reduced-order projective synchronization scheme for synchronizing the hyperchaotic Rikitake system coexisting without equilibria and the original classic Rikitake system coexisting with two nonhyperbolic equilibria. Finally, numerical simulations are given to illustrate the effectiveness of the proposed synchronization scheme.
WOS研究方向	Physics
语种	英语
出版者	INDIAN ACAD SCIENCES
WOS记录号	WOS:000398810700006
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1003]
专题	上海财经大学
通讯作者	Feng, Yu
作者单位	1.Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Opt Big, Yulin 537000, Peoples R China; 2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Feng, Yu,Pan, Weiquan. Hidden attractors without equilibrium and adaptive reduced-order function projective synchronization from hyperchaotic Rikitake system[J]. PRAMANA-JOURNAL OF PHYSICS,2017,88(4).
APA	Feng, Yu,&Pan, Weiquan.(2017).Hidden attractors without equilibrium and adaptive reduced-order function projective synchronization from hyperchaotic Rikitake system.PRAMANA-JOURNAL OF PHYSICS,88(4).
MLA	Feng, Yu,et al."Hidden attractors without equilibrium and adaptive reduced-order function projective synchronization from hyperchaotic Rikitake system".PRAMANA-JOURNAL OF PHYSICS 88.4(2017).